Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 4.7, Problem 4.141TI
Write the inequality shown by the shaded region in the graph with the boundary line
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 4 Solutions
Elementary Algebra
Ch. 4.1 - Plot each point in a rectangular coordinate system...Ch. 4.1 - Plot each point in a rectangular coordinate system...Ch. 4.1 - Plot each point: (a) (4,0) (b) (2,0) (c) (0,0) (d)...Ch. 4.1 - Plot each point: (a) (5,0) (b) (3,0) (c) (0,0) (d)...Ch. 4.1 - Name the ordered pair of each point shown in the...Ch. 4.1 - Name the ordered pair of each point shown in the...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...
Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Find three solutions to this equation: y=2x+3 .Ch. 4.1 - Find three solutions to this equation: y=4x+1 .Ch. 4.1 - Find three solutions to the equation 2x+3y=6 .Ch. 4.1 - Find three solutions to the equation 4x+2y=8 .Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - Prob. 48ECh. 4.1 - Weight of a baby. Mackenzie recorded her baby’s...Ch. 4.1 - Weight of a baby. Mackenzie recorded her baby’s...Ch. 4.1 - Explain in words how you plot the point (4,2) in a...Ch. 4.1 - How do you determine if an ordered pair is a...Ch. 4.1 - Is the point (3,0) on the x-axis or y-axis? How do...Ch. 4.1 - Is the point (0,8) on the x-axis or y-axis? How do...Ch. 4.2 - Use the graph of y=3x1 to decide whether each...Ch. 4.2 - Use the graph of y=3x1 to decide whether each...Ch. 4.2 - Graph the equation by plotting points: y=2x3 .Ch. 4.2 - Graph the equation by plotting points: y=2x+4 .Ch. 4.2 - Graph the equation by plotting points: y=4x .Ch. 4.2 - Graph the equation by plotting points: y=x .Ch. 4.2 - Graph the equation y=13x1 .Ch. 4.2 - Graph the equation y=14x+2 .Ch. 4.2 - Graph the equation 2x+y=2 .Ch. 4.2 - Graph the equation 4x+y=3 .Ch. 4.2 - Graph the equation 4x+2y=8 .Ch. 4.2 - Graph the equation 2x4y=8 .Ch. 4.2 - Graph the equation x=5 .Ch. 4.2 - Graph the equation x=2 .Ch. 4.2 - Graph the equation y=4 .Ch. 4.2 - Graph the equation y=3 .Ch. 4.2 - Graph y=4x and y=4 in the same rectangular...Ch. 4.2 - Graph y=3 and y=3x in the same rectangular...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - Motor home cost. The Robinsons rented a motor home...Ch. 4.2 - Weekly earnings. At the art gallery where heworks,...Ch. 4.2 - Explain how you would choose three x-values tomake...Ch. 4.2 - What is the difference between the equations of a...Ch. 4.3 - Find the x- and y- intercepts on the graph.Ch. 4.3 - Find the x- and y- intercepts on the graph.Ch. 4.3 - Find the intercepts of 3x+y=12 .Ch. 4.3 - Find the intercepts of x+4y=8 .Ch. 4.3 - Find the intercepts of 3x4y=12 .Ch. 4.3 - Find the intercepts of 2x4y=8 .Ch. 4.3 - Graph x2y=4 using the intercepts.Ch. 4.3 - Graph x+3y=6 using the intercepts.Ch. 4.3 - Graph 5x2y=10 using the intercepts.Ch. 4.3 - Graph 3x4y=12 using the intercepts.Ch. 4.3 - Graph y=4x using the intercepts.Ch. 4.3 - Graph y=x the intercepts.Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - Road trip. Damien is driving from Chicago to...Ch. 4.3 - Road trip. Ozzie filled up the gas tank of his...Ch. 4.3 - How do you find the x- intercept of the graph of...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.4 - What is the slope of the line on the geoboard...Ch. 4.4 - What is the slope of the line on the geoboard...Ch. 4.4 - What is the slope of the line on the geoboard?Ch. 4.4 - What is the slope of the line on the geoboard?Ch. 4.4 - Model the slope m=13 . Draw a picture to show your...Ch. 4.4 - Model the slope m=32 . Draw a picture to show your...Ch. 4.4 - Model the slope m=23 . Draw a picture to show your...Ch. 4.4 - Model the slope m=13 . Draw a picture to show your...Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line: x=4 .Ch. 4.4 - Find the slope of the line: y=7 .Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Graph the line passing through the point (2,2)...Ch. 4.4 - Graph the line passing through the point (2,3)...Ch. 4.4 - Graph the line with the y-intercept 4 and slope...Ch. 4.4 - Graph the line with the x-intercept 3 and slope...Ch. 4.4 - Graph the line with the point (2,1) and slope m=3...Ch. 4.4 - Graph the line with the point (4,2) and slope m=2...Ch. 4.4 - Use Example 4.38, substituting the rise =14 and...Ch. 4.4 - Use Example 4.38, substituting rise =15 and run...Ch. 4.4 - Find the slope of a pipe that slopes down 13 inch...Ch. 4.4 - Find the slope of a pipe that slopes down 34 inch...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - Slope of a roof. An easy way to determine the...Ch. 4.4 - The slope of the roof shown here is measured with...Ch. 4.4 - Road grade. A local road has a grade of 6%. The...Ch. 4.4 - Highway grade. A local road rises 2 feet for every...Ch. 4.4 - Wheelchair ramp. The rules for wheelchair ramps...Ch. 4.4 - Wheelchair ramp. A 1-inch rise for a 16-inch run...Ch. 4.4 - What does the sign of the slope tell you about a...Ch. 4.4 - How does the graph of a line with slope m=12...Ch. 4.4 - Why is the slope of a vertical line “undefined”?Ch. 4.5 - Use the graph to find the slope and y-intercept of...Ch. 4.5 - Use the graph to find the slope and y-intercept of...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Graph the line of the equation y=4x+1 using its...Ch. 4.5 - Graph the line of the equation y=2x3 using its...Ch. 4.5 - Graph the line of the equation y=x3 using its...Ch. 4.5 - Graph the line of the equation y=x1 using its...Ch. 4.5 - Graph the line of the equation y=52x+1 using its...Ch. 4.5 - Graph the line of the equation y=34x2 using its...Ch. 4.5 - Graph the line of the equation 2xy=6 using its...Ch. 4.5 - Graph the line of the equation 3x2y=8 using its...Ch. 4.5 - Graph the line of the equation y=0.5x+25 using its...Ch. 4.5 - Graph the line of the equation y=0.1x30 using its...Ch. 4.5 - Determine the most convenient method to graph each...Ch. 4.5 - Determine the most convenient method to graph each...Ch. 4.5 - The equation h=2s+50 is used to estimate a woman’s...Ch. 4.5 - The equation T=14n+40 is used to estimate the...Ch. 4.5 - Sam drives a delivery van. The equation C=0.5m+60...Ch. 4.5 - Loreen has a calligraphy business. The equation...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes to determine if the lines y=3x+2 and...Ch. 4.5 - Use slopes to determine if the lines y=2x5 and...Ch. 4.5 - Use slopes to determine if the lines 5x+4y=1 and...Ch. 4.5 - Use slopes to determine if the lines 2x9y=3 and...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - The equation P=31+1.75w models the relation...Ch. 4.5 - The equation P=28+2.54w models the relation...Ch. 4.5 - Bruce drives his car for his job. The equation...Ch. 4.5 - Janelle is planning to rent a car while on...Ch. 4.5 - Cherie works in retail and her weekly salary...Ch. 4.5 - Patel’s weekly salary includes a base pay plus...Ch. 4.5 - Costa is planning a lunch banquet. The equation...Ch. 4.5 - Margie is planning a dinner banquet. The equation...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - The equation C=59F17.8 can be used to convert...Ch. 4.5 - The equation n=4T160 is used to estimate the...Ch. 4.5 - Explain in your own words how to decide which...Ch. 4.5 - Why are all horizontal lines parallel?Ch. 4.6 - Find an equation of a line with slope 25 and...Ch. 4.6 - Find an equation of a line with slope 1 and...Ch. 4.6 - Find the equation of the line shown in the graph.Ch. 4.6 - Find the equation of the line shown in the graph.Ch. 4.6 - Find an equation of a line with slope m=56 and...Ch. 4.6 - Find an equation of a line with slope m=23 and...Ch. 4.6 - Find an equation of a line with slope m=25 and...Ch. 4.6 - Find an equation of a line with slope m=34 , and...Ch. 4.6 - Find an equation of a horizontal line containing...Ch. 4.6 - Find an equation of a horizontal line containing...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line parallel to the line...Ch. 4.6 - Find an equation of a line parallel to the line...Ch. 4.6 - Find an equation of a line perpendicular to the...Ch. 4.6 - Find an equation of a line perpendicular to the...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - 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The age, x, and LDL cholesterol...Ch. 4.6 - Fuel consumption. The city mpg, x, and highway...Ch. 4.6 - Why are all horizontal lines parallel?Ch. 4.6 - Explain in your own words why the slopes of two...Ch. 4.7 - Determine whether each ordered pair is a solution...Ch. 4.7 - Determine whether each ordered pair is a solution...Ch. 4.7 - Write the inequality shown by the graph with the...Ch. 4.7 - Write the inequality shown by the graph with the...Ch. 4.7 - Write the inequality shown by the shaded region in...Ch. 4.7 - Write the inequality shown by the shaded region in...Ch. 4.7 - Graph the linear inequality y52x4 .Ch. 4.7 - Graph the linear inequality y23x5 .Ch. 4.7 - Graph the linear inequality 2x3y6 .Ch. 4.7 - Graph the linear inequality 2xy3 .Ch. 4.7 - Graph the linear inequality y3x .Ch. 4.7 - Graph the linear inequality y2x .Ch. 4.7 - Graph the linear inequality y5 .Ch. 4.7 - Graph the linear inequality y1 .Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - Money. Gerry wants to have a maximum of $100 cash...Ch. 4.7 - Shopping. Tula has $20 to spend at the used book...Ch. 4.7 - Lester thinks that the solution of any inequality...Ch. 4.7 - Explain why in some graphs of linear inequalities...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, name the ordered pair...Ch. 4 - In the following exercises, name the ordered pair...Ch. 4 - In the following exercises, which ordered pairs...Ch. 4 - In the following exercises, which ordered pairs...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, for each ordered pair,...Ch. 4 - In the following exercises, for each ordered pair,...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph each equation....Ch. 4 - In the following exercises, graph each equation....Ch. 4 - In the following exercises, graph each pair of...Ch. 4 - In the following exercises, graph each pair of...Ch. 4 - In the following exercises, find the x- and...Ch. 4 - In the following exercises, find the x- and...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, solve these slope...Ch. 4 - In the following exercises, solve these slope...Ch. 4 - In the following exercises, use the graph to find...Ch. 4 - In the following exercises, use the graph to find...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - Katherine is a private chef. 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The equation P=35h250...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - UIn the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, determine whether each...Ch. 4 - In the following exercises, determine whether each...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - Plot each point in a rectangular coordinate...Ch. 4 - Which of the given ordered pairs are solutions to...Ch. 4 - Find three solutions to the linear equation y=2x4...Ch. 4 - Find the x- and y-intercepts of the equation...Ch. 4 - Find the slope of each line shown. 686.Ch. 4 - Find the slope of each line shown. 687.Ch. 4 - Find the slope of each line shown. 688.Ch. 4 - Find the slope of each line shown. 689. Find the...Ch. 4 - Find the slope of each line shown. 690. Graph the...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Graph each linear inequality. 703. y32x+5Ch. 4 - Graph each linear inequality. 704. xy4Ch. 4 - Graph each linear inequality. 705. y5xCh. 4 - Graph each linear inequality. 706. y3
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- Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forward
- 4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answerarrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
- 5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1arrow_forwardWrite p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forward
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